Arjun's school is selling tickets to a fall musical. On the first day of ticket sales the school sold 8
senior citizen tickets and 9 student tickets for a total of $169. The school took in $149 on the second
day by selling 7 senior citizen tickets and 8 student tickets. What is the price each of one senior citizen
ticket and one student ticket? Explain?

Out of five men and five women, we form a committee consisting of four different people. assuming that each committee of size four is equally likely, find the probabilities of the following events: 1. the committee consists of two men and two women 2. the committee has more women than men. 3. the committee has at least one man. for the remainder of the problem assume that alice and bob are among the ten people being considered. 4. both alice and bob are members of the committee.